A Journey in Mathematics Education Research

A Journey in Mathematics Education Research
Author: Erna Yackel
Publisher: Springer Science & Business Media
Total Pages: 255
Release: 2010-11-30
Genre: Education
ISBN: 9048197295

Our objective is to publish a book that lays out the theoretical constructs and research methodologies within mathematics education that have been developed by Paul Cobb and explains the process of their development. We propose to do so by including papers in which Cobb introduced new theoretical perspectives and methodologies into the literature, each preceded by a substantive accompanying introductory paper that explains the motivation/rationale for developing the new perspectives and/or methodologies and the processes through which they were developed, and Cobb’s own retrospective comments. In this way the book provides the reader with heretofore unpublished material that lays out in considerable detail the issues and problems that Cobb has confronted in his work, that, from his viewpoint, required theoretical and methodological shifts/advances and provides insight into how he has achieved the shifts/advances. The result will be a volume that, in addition to explaining Cobb’s contributions to the field of mathematics education, also provides the reader with insight into what is involved in developing an aggressive and evolving research program. When Cobb confronts problems and issues in his work that cannot be addressed using his existing theories and frameworks, he looks to other fields for theoretical inspiration. A critical feature of Cobb’s work is that in doing so, he consciously appropriates and adapts ideas from these other fields to the purpose of supporting processes of learning and teaching mathematics; He does not simply accept the goals or motives of those fields. As a result, Cobb reconceptualizes and reframes issues and concepts so that they result in new ways of investigating, exploring, and explaining phenomena that he encounters in the practical dimensions of his work, which include working in classrooms, with teachers, and with school systems. The effect is that the field of mathematics education is altered. Other researchers have found his "new ways of looking" useful to them. And they, in turn, adapt these ideas for their own use. The complexity of many of the ideas that Cobb has introduced into the field of mathematics education can lead to a multiplicity of interpretations by practitioners and by other researchers, based on their own experiential backgrounds. Therefore, by detailing the development of Cobb’s work, including the tensions involved in coming to grips with and reconciling apparently contrasting perspectives, the book will shed additional light on the processes of reconceptualization and thus help the reader to understand the reasons, mechanisms, and outcomes of researchers’ constant pursuit of new insights.

Developing Research in Mathematics Education

Developing Research in Mathematics Education
Author: Tommy Dreyfus
Publisher: Routledge
Total Pages: 526
Release: 2018-04-27
Genre: Education
ISBN: 1351625403

Developing Research in Mathematics Education is the first book in the series New Perspectives on Research in Mathematics Education, to be produced in association with the prestigious European Society for Research in Mathematics Education. This inaugural volume sets out broad advances in research in mathematics education which have accumulated over the last 20 years through the sustained exchange of ideas and collaboration between researchers in the field. An impressive range of contributors provide specifically European and complementary global perspectives on major areas of research in the field on topics that include: the content domains of arithmetic, geometry, algebra, statistics, and probability; the mathematical processes of proving and modeling; teaching and learning at specific age levels from early years to university; teacher education, teaching and classroom practices; special aspects of teaching and learning mathematics such as creativity, affect, diversity, technology and history; theoretical perspectives and comparative approaches in mathematics education research. This book is a fascinating compendium of state-of-the-art knowledge for all mathematics education researchers, graduate students, teacher educators and curriculum developers worldwide.

Proof in Mathematics Education

Proof in Mathematics Education
Author: David A. Reid
Publisher: BRILL
Total Pages: 265
Release: 2010-01-01
Genre: Education
ISBN: 946091246X

Research on teaching and learning proof and proving has expanded in recent decades. This reflects the growth of mathematics education research in general, but also an increased emphasis on proof in mathematics education.

Living Culturally Responsive Mathematics Education with/in Indigenous Communities

Living Culturally Responsive Mathematics Education with/in Indigenous Communities
Author:
Publisher: BRILL
Total Pages: 291
Release: 2019-11-26
Genre: Education
ISBN: 9004415769

Living Culturally Responsive Mathematics Education with/in Indigenous Communities provides a critical examination of the nature, possibilities and challenges of culturally responsive mathematics education and how it is lived with/in Indigenous communities across international contexts connecting land, community, mathematics, and culture.

Second Handbook of Research on Mathematics Teaching and Learning

Second Handbook of Research on Mathematics Teaching and Learning
Author: Frank K. Lester
Publisher: IAP
Total Pages: 1380
Release: 2007-02-01
Genre: Education
ISBN: 160752709X

The audience remains much the same as for the 1992 Handbook, namely, mathematics education researchers and other scholars conducting work in mathematics education. This group includes college and university faculty, graduate students, investigators in research and development centers, and staff members at federal, state, and local agencies that conduct and use research within the discipline of mathematics. The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned above, the present Handbook contains chapters that should be relevant to four other groups: teacher educators, curriculum developers, state and national policy makers, and test developers and others involved with assessment. Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community.

Research and Development in University Mathematics Education

Research and Development in University Mathematics Education
Author: Viviane Durand-Guerrier
Publisher: Routledge
Total Pages: 244
Release: 2021-04-16
Genre: Education
ISBN: 1000369285

In the last thirty years or so, the need to address the challenges of teaching and learning mathematics at university level has become increasingly appreciated by university mathematics teachers, and beyond, by educational institutions around the world. Indeed, mathematics is both a condition and an obstacle to success for students in many educational programmes vital to the 21st century knowledge society, for example in pure and applied mathematics, engineering, natural sciences, technology, economics, finance, management and so on. This breadth of impact of mathematics implies the urgency of developing research in university mathematics education, and of sharing results of this research widely. This book provides a bespoke opportunity for an international audience of researchers in didactics of mathematics, mathematicians and any teacher or researcher with an interest in this area to be informed about state-of-the-art developments and to heed future research agendas. This book emerged from the activities of the research project INDRUM (acronym for International Network for Didactic Research in University Mathematics), which aims to contribute to the development of research in didactics of mathematics at all levels of tertiary education, with a particular concern for the development of early-career researchers in the field and for dialogue with university mathematicians. The aim of the book is to provide a deep synthesis of the research field as it appears through two INDRUM conferences organised in 2016 and 2018. It is an original contribution which highlights key research perspectives, addresses seminal theoretical and methodological issues and reports substantial results concerning the teaching and learning of mathematics at university level, including the teaching and learning of specific topics in advanced mathematics across a wide range of university programmes.

Research in Collegiate Mathematics Education III

Research in Collegiate Mathematics Education III
Author: James J. Kaput
Publisher: American Mathematical Soc.
Total Pages: 330
Release: 1998
Genre: Education
ISBN: 0821808826

Volume 3 of Research in Collegiate Mathematics Education (RCME) presents state-of-the-art research on understanding, teaching and learning mathematics at the post-secondary level. This volume contains information on methodology and research concentrating on these areas of student learning: Problem Solving; Understanding Concepts; and Understanding Proofs.

Research in Mathematics Education in Australasia 2016–2019

Research in Mathematics Education in Australasia 2016–2019
Author: Jennifer Way
Publisher: Springer Nature
Total Pages: 383
Release: 2020-04-20
Genre: Education
ISBN: 9811542694

The tenth edition of the four-yearly review of mathematics education research in Australasia, compiled by the Mathematics Education Research Group of Australasia (MERGA), critically reviews research in mathematics education in the four years from 2016 to 2019. Its goals are to provide a reference guide for researchers, and to promote further quality research in Australasia.

Compendium for Research in Mathematics Education

Compendium for Research in Mathematics Education
Author: Jinfa Cai
Publisher: National Council of Teachers of English
Total Pages: 1008
Release: 2017
Genre: Matemáticas
ISBN: 9780873537117

This volume, a comprehensive survey and critical analysis of today's issues in mathematics education, distills research to build knowledge and capacity in the field. The compendium is a valuable new resource that provides the most comprehensive evidence about what is known about research in mathematics education. The 38 chapters present five sections that address research about (1) foundations, (2) methods, (3) mathematical processes and content, (4) students, teachers, and learning environments, and (5) futuristic issues. Each chapter offers a synthesis of research with an eye to the historical development of a research topic and, in particular, historical milestones of the research about the topic.

Online Learning in Mathematics Education

Online Learning in Mathematics Education
Author: Karen Hollebrands
Publisher: Springer Nature
Total Pages: 353
Release: 2021-10-27
Genre: Education
ISBN: 3030802302

This book brings together research from mathematics education and instructional design to describe the development and impact of online environments on prospective and practicing teachers’ learning to teach mathematics. The move to online learning has steadily increased over the past decade. Its most rapid movement occurring in 2020 with most instruction taking place remotely. Chapters in this book highlight issues related to teacher learning in three main contexts: formal, informal, and experiential or practice-based. This volume brings together researchers from the different but related fields of instructional design and mathematics education to engage in dialogue around how we design and study the impacts of online learning in general and online mathematics education more specifically. The book is very timely with most instruction taking place online and mathematics educators addressing challenges related to supporting teachers’ formal, informal, and experiential learning online. A chapter in each section will synthesize ideas presented by instructional designers and mathematics educators as it relates to teacher learning in each context. At the end of each section, a retrospective chapter is presented to reflect on what the different perspectives offer to better understand mathematics teacher learning in online environments. This book is of interest to mathematics educators, researchers, teacher educators, professional development providers, and instructional designers.